This is an argument we hear all the time. Guns are illegal in Chicago. You can't buy them within the city limits. So how is it possible that there is so much gun violence in the city? That's proof the laws don't work, right?
Of course not. All you have to do is drive to Indiana (which is very close if you live on the south side) or one of the many nearby Illinois municipalities that sell guns. If you don't have a car, you can reach all of these places via train. Super easily. Unbelievably easily.
The New York Times shows how this is true of every place in America that has restrictive gun laws.
I'm not saying that more universal gun laws will work. But it's obviously not provable that they won't.